The area of a square park is 2401m? Find the area of a rectangular field, whose
perimeter is equal to the perimeter of the square park and whose length is six
times of its breadth.
Answers
Answered by
1
Answer:
Area of a square park = 2401 m²
Each side of the square park = √2401 m = 49 m
Perimeter of the square park = (4 × 49) m = 196 m
Then, perimeter of the rectangular field = 196 m
Let its breadth be x.
Then, its length = 6x
Now,
2(6x + x) = 196
=) 14x = 196
=) x = 196/14 = 14
Length of the rectangular field = (6 × 14) m = 84 m
Breadth of the rectangular field = 14 m
Area of the rectangular field = (84 × 14) m² = 1176 m²
The area of the rectangular field is 1196 m².
Answered by
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squre root of 2401 give us 49m which is the length of each side of Square park , So, In case of Rectangular park the length is 6 times the length of Square park so 49×6 =414 m .Now the Perimeter is 2×(414+49)= 2×463=926m
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